### Understanding Forces Acting on an Arm Held in Position#### Problem Statement:The arm in the figure below weighs 37.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force \(\vec{F_t}\) in the deltoid muscle and the force \(\vec{F_s}\) exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.)\[F_t = \_\_\_\_ \text{ N}\]\[F_s = \_\_\_\_ \text{ N}\]#### Diagram Description:The diagram illustrates the forces acting on an arm held in a specific position:- \(\vec{F_t}\) represents the tension force in the deltoid muscle, directed at an angle 12° above the horizontal.- \(\vec{F_s}\) represents the force exerted by the shoulder, directed at an angle \(\theta\) below the horizontal.- \(\vec{F_g}\) represents the gravitational force acting vertically downward through point A at the arm's center of gravity.- The arm is positioned horizontally, with lengths marked as follows: - Horizontal distance from point O to point A: 0.290 m - Vertical distance from point O to the deltoid muscle attachment: 0.080 m#### Provided Values:- The weight of the arm, \(F_g\): 37.6 N- Angle of tension force, \(\vec{F_t}\): 12°Using static equilibrium equations, the goal is to solve for the magnitudes of the tension force \(\vec{F_t}\) and the shoulder force \(\vec{F_s}\).Submit your answer in the respective fields for \(F_t\) and \(F_s\).

The weight of the arms act at A. Taking the moment of the forces about point O,

The arm in the figure below weighs 37.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force i, exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) N %3D 0.080 m 0.290 m-

The arm in the figure below weighs 37.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force i, exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) N %3D 0.080 m 0.290 m-

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Understanding Forces Acting on an Arm Held in Position

#### Problem Statement:
The arm in the figure below weighs 37.6 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force \(\vec{F_t}\) in the deltoid muscle and the force \(\vec{F_s}\) exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.)

\[
F_t = \_\_\_\_ \text{ N}
\]
\[
F_s = \_\_\_\_ \text{ N}
\]

#### Diagram Description:
The diagram illustrates the forces acting on an arm held in a specific position:

- \(\vec{F_t}\) represents the tension force in the deltoid muscle, directed at an angle 12° above the horizontal.
- \(\vec{F_s}\) represents the force exerted by the shoulder, directed at an angle \(\theta\) below the horizontal.
- \(\vec{F_g}\) represents the gravitational force acting vertically downward through point A at the arm's center of gravity.
- The arm is positioned horizontally, with lengths marked as follows:
- Horizontal distance from point O to point A: 0.290 m
- Vertical distance from point O to the deltoid muscle attachment: 0.080 m

#### Provided Values:
- The weight of the arm, \(F_g\): 37.6 N
- Angle of tension force, \(\vec{F_t}\): 12°

Using static equilibrium equations, the goal is to solve for the magnitudes of the tension force \(\vec{F_t}\) and the shoulder force \(\vec{F_s}\).

Submit your answer in the respective fields for \(F_t\) and \(F_s\).

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